Principal ideals which are maximal ideals in Banach algebras
Richard Crownover (1969)
Studia Mathematica
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Richard Crownover (1969)
Studia Mathematica
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Antoni Wawrzyńczyk (2000)
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The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.
Jorma Arhippainen (1992)
Studia Mathematica
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Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
W. Żelazko (1972)
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Zbigniew Słodkowski (1973)
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Bruno Kramm (1980)
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W. Żelazko (1981)
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Donald Plank (1969)
Fundamenta Mathematicae
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P. Djakov, B. Mitiagin (1980)
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R. Brooks (1964)
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Leonard Yap (1970)
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Jorge Bustamante, José R. Arrazola, Raúl Escobedo (1998)
Revista Matemática Complutense
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Relations between homomorphisms on a real function algebra and different properties (such as being inverse-closed and closed under bounded inversion) are studied.